Stability of depths of powers of edge ideals

JOURNAL OF ALGEBRA

卷:452

Article

Tran Nam Trung¹ 

[1] VAST, Inst Math, 18 Hoang Quoc Viet, Hanoi, Vietnam

关键词: Depth;    Monomial ideal;    Stanley-Reisner ideal;    Edge ideal;    Simplicial complex;    Graph;   

DOI  :  10.1016/j.jalgebra.2016.01.009

来源: Elsevier

【 摘 要 】

Let G be a graph and let I := I (G) be its edge ideal. In this paper, we provide an upper bound of n from which depth R/I(G)(n) is stationary, and compute this limit explicitly. This bound is always achieved if G has no cycles of length 4 and every its connected component is either a tree or a unicyclic graph. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free